Tim's salary to Vincent's salary is 4 : 5. The former saves $1440 while the latter saves $1700. If Vincent's spending to Tim's spending is in the ratio of 3 : 2, what are Tim's and Vincent's salaries respectively?
- Tim
- Vincent
| Tim's salary |
Vincent's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1440 |
2 p |
$1700 |
3 p |
1440 + 2 p = 4 u --- (1)
1700 + 3 p = 5 u --- (2)
Make p the same.
(1)
x 34320 +
6 p = 12 u
6 p = 12 u - 4320 --- (3)
(2)
x 23400 +
6 p = 10 u
6 p = 10 u - 3400 --- (4)
(3) = (4)
12 u - 4320 = 10 u - 3400
12 u - 10 u = 4320 - 3400
2 u = 920
1 u = 920 ÷ 2 = 460
(a)
Tim's salary
= 4 u
= 4 x 460
= $1840
(b)
Vincent's salary
= 5 u
= 5 x 460
= $2300
Answer(s): (a) $1840; (b) $2300
